Univ.-Prof. Dr. Carsten Schneider
Johannes Kepler University Linz
RISC - Research Institute for Symbolic Computation
Carsten.Schneider@risc.jku.at (Tel: +43 732 2468 9966)

Publications

Note: Further information can be found, e.g., on MathSciNet, Google Scholar, ResearchGate, zbMath, Web of Science, Scopus, Inspire, or ORCID.



Type: [any] [Papers] [Theses] [Technical Reports] [Other] 
Year: [any] [2024] [2023] [2022] [2021] [2020] [2019] [2018] [2017] [2016] [2015] [earlier] 

  1. C. Schneider. The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. Mathematics in Computer Science 15(4), pp. 577-588. 2021. ISSN 1661-8289. arXiv:2003.01921 [math.CO]. [url] [bib]
  2. J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Three loop heavy quark form factors and their asymptotic behavior. In: Proc.of 23rd DAE-BRNS High Energy Physics Symposium 2018, Behera, P.K., Bhatnagar, V., Shukla, P., Sinha, R. (ed.), Springer Proceedings in Physics 261, pp. 91-100. 2021. Springer, ISBN 978-981-33-4407-5. arXiv:1906.05829 [hep-ph]. [url] [pdf] [bib]
  3. J. Ablinger, C. Schneider. Solving linear difference equations with coefficients in rings with idempotent representations. In: Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation (Proc. ISSAC 21), Marc Mezzarobba (ed.), pp. 27-34. 2021. ISBN 978-1-4503-8382-0/21/06. arXiv:2102.03307 [cs.SC]. [url] [pdf] [bib]
  4. Carsten Schneider, Wadim Zudilin. A case study for ζ(4). In: Transcendence in Algebra, Combinatorics, Geometry and Number Theory. TRANS 2019, Alin Bostan and Kilian Raschel (ed.), Proceedings in Mathematics & Statistics 373, pp. 421-435. 2021. Springer, ISBN 978-3-030-84304-5. arXiv:2004.08158 [math.NT]. [url] [pdf] [bib]
  5. Sergei A. Abramov, Manuel Bronstein, Marko Petkovšek, Carsten Schneider. On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ∗-field extensions. J. Symb. Comput. 107, pp. 23-66. 2021. ISSN 0747-7171. arXiv:2005.04944 [cs.SC]. [url] [pdf] [bib]
  6. A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, K. Schönwald, and C. Schneider. The Polarized Transition Matrix Element $A_{g, q}(N)$ of the Variable Flavor Number Scheme at $O(alpha_s^3)$. Nuclear Physics B 964, pp. 115331-115356. 2021. ISSN 0550-3213. arXiv:2101.05733 [hep-ph]. [url] [bib]
  7. C. Schneider. Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. In: Anti-Differentiation and the Calculation of Feynman Amplitudes, J. Blümlein and C. Schneider (ed.), Texts and Monographs in Symbolic Computuation , pp. 423-485. 2021. Springer, ISBN 978-3-030-80218-9. arXiv:2102.01471 [cs.SC], RISC-Linz Report Series No. 21-03. [url] [pdf] [bib]
  8. J. Ablinger, J. Blümlein, C. Schneider. Iterated integrals over letters induced by quadratic forms. Physical Review D 103(9), pp. 096025-096035. 2021. ISSN 2470-0029. arXiv:2103.08330 [hep-th]. [url] [bib]
  9. J. Blümlein, A. De Freitas, M. Saragnese, K. Schönwald, C. Schneider. The Logarithmic Contributions to the Polarized $O(alpha_s^3)$ Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering. Physical Review D 104(3), pp. 1-73. 2021. ISSN 2470-0029. arXiv:2105.09572 [hep-ph]. [url] [bib]
10. J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements. Nucl. Phys. B 971, pp. 1-44. 2021. ISSN 0550-3213. arXiv:2107.06267 [hep-ph]. [url] [bib]